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Finding the Third Proportional to 1,197,025 and 1,679,663

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Solution

The third proportional to 1,197,025 and 1,679,663 is: 2,356,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,025 : 1,679,663 = 1,679,663 : x
  2. Step 2: Convert to fraction form
    1,197,025/1,679,663 = 1,679,663/x
  3. Step 3: Cross multiply
    1,197,025x = 1,679,663 × 1,679,663
  4. Step 4: Simplify right side
    1,197,025x = 2,821,267,793,569
  5. Step 5: Solve for x
    x = 2,821,267,793,569/1,197,025
  6. Step 6: Final answer
    x = 2,356,899.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.